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Finding the Fourth Proportional to 6,532.18, 9,785.92 and 5,064.14

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Solution

The fourth proportional to 6,532.18, 9,785.92 and 5,064.14 is: 7,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.18 : 9,785.92 = 5,064.14 : x
  2. Step 2: Convert to fraction form
    6,532.18/9,785.92 = 5,064.14/x
  3. Step 3: Cross multiply
    6,532.18x = 9,785.92 × 5,064.14
  4. Step 4: Simplify right side
    6,532.18x = 49,557,268.91
  5. Step 5: Solve for x
    x = 49,557,268.91/6,532.18
  6. Step 6: Final answer
    x = 7,586.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.